Public Key Encryption Scheme Based On QI Hyperchaos And Its FPGA Implementation

Public key encryption is also called asymmetric encryption.In the encryption process,two keys are used,that is,encryption public key and decryption private key.Differing with the traditional symmetric encryption of encryption,public key encryption in communication between multiple users only needs to provide public key encryption key,each user has a unique decryption key,which not only greatly strengthens the key management,but also saves the system resources.There are many similar properties between the chaotic systems and the encryption systems.Applying chaos to cryptography has broad application prospects.Compared with the research of chaotic private key cryptosystem,there are few reports about chaotic public key system.In this thesis,a two-dimensional hyperchaotic map with two positive Lyapunov exponents is proposed on the basis of the traditional cat mapping.A key system is generated by combing the discretized four-dimensional hyperchaotic Qi system with the pseudo random sequence generated from the proposed hyperchaotic map to generate the public key and the private key sequence of users.A new chaos-based public key encryption scheme is constructed by combining the key generation system with AES and other traditional symmetric encryption systems.In the implementation of FPGA technology,the public key sequence and private key sequence generated by the key generation system are used as the input key of the AES encryption system in the process of encryption and decryption respectively.In summary,the public key encryption scheme proposed in this paper is different from the pure cryptography public key encryption system in essence.The RSA public encryption key system is based on a class of mathematical problems,and the proposed public key encryption scheme is associated with the AES symmetric block encryption security system.Therefore,in the process of research,we pay more attention to the implementation of the scheme in FPGA technology,increase its practicality,and give several application scenarios on the internet.